Introduction: In this paper, we present how seventh-grade students become aware of rational numbers during mathematics instruction through the social process of objectification when comparing two magnitudes. Methods: Theoretical elements of the Theory of Objectification and the Onto-Semiotic Approach to Mathematical Instruction and Cognition guide…

The aim of this study is to develop a descriptive framework for teacher educators to assist teachers to plan and realize modelling implementations in their classrooms and for researchers to describe and analyse how modelling is implemented. The planning process and implementations of 12 middle and high school mathematics teachers who conducted…

The aim of this study was to develop, implement, and evaluate an intervention program focusing on developing Grade 5 and 6 students' functional thinking. The innovative aspect lies in addressing simultaneously various aspects of function--input--output, covariation, correspondence, and object--in terms of manipulating tasks that involve functional…

Open Educational Resources (OER) was first introduced in universities as a cost-saving option to traditional textbooks. In 2015, the U.S. Department of Education announced the #GoOpen initiative, challenging school districts nationwide to convert at least one course from traditional curriculum resources to OER. Existing research has focused on the…

Math performance continues to be an important focus for improvement. The most recent National Report Card in the U.S. suggested student math scores declined in the past two years possibly due to COVID-19 pandemic and related school closures. We report on the implementation of a math homework program that leverages AI-based one-to-one technology,…

Curriculum change affords middle leaders opportunities for pedagogical and planning renewal. This paper reports case studies of two schools engaged in preparing for implementation of Version 9 of the Australian Curriculum: Mathematics. Drawing on interview data from a middle leader from each school, Bacchi's question, "What's the problem…

Math Innovation Zones (MIZ) is a strategic grant initiative first introduced by the Texas Education Agency (TEA) in 2018. A novel state-initiative aimed at increasing PreK - 8th grade math proficiency, the highly competitive grant program provides funding to both Texas school districts and open enrollment charter schools using allocations through…

This study evaluated the effectiveness of faithful use of Imagine Math, a computer adaptive math intervention for elementary students in grades three through five. To achieve this objective, the researcher compared the math achievement growth as measured by the NWEA MAP math assessments from fall 2021 to spring 2022 between the treatment group and…

Purpose: In intelligent tutoring systems (ITS), learners were often granted limited authority and are forced to obey the decision of the system which might not satisfy their needs. Failure to grant learners sufficient autonomy could yield unexpected effects that hinder learning, including undermining learners' motivation, priming learners'…

Teachers' support in implementing the standards for mathematical practice has been an area of study since the implementation of the Common Core state standards initiative. The research problem was a gap in the literature regarding what teachers perceive as the supports needed to implement the Common Core standards for mathematical practice in the…

During the 2017-2018 school year, SEG Measurement conducted a study of the effectiveness of Imagine Math, an online system that provides individualized adaptive instruction and breaks down skills into component parts to help students develop math skills. The study examined the effectiveness of Imagine Math for improving the math skills of fourth,…

Delve into the transformative journey of teachers and administrators from a rural school district as they bring "Principles to Actions" to life. Pawnee City Public Schools believes effective teaching affects student learning and implemented a successful district-wide plan to improve student learning through the eight Mathematics Teaching…

In this dissertation in practice, the background of middle grades mathematics acceleration detailed why the organization benefited from a program analysis. Middle grades mathematics acceleration encourages students to take high school Algebra I in eighth grade so they can earn college-level math credits for free in high school. Often acceleration…

In conjunction with the Council of Chief State School Officers (CCSSO) and governors across the nation, the initial drafts of the Common Core State Standards (CCSS) were introduced in 2009 with the final draft being released in 2010. With a goal of eliminating stagnant academic progress, the Standards were written to outline precisely what…

This study examined the impact of the levels of fidelity of teacher implementation of a research-based middle school mathematics program, implemented systemically across a district, on student achievement benchmarks. By examining the systemic implementation based on the level of fidelity to the written curriculum, this quantitative study sought to…